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Height of Key given Compressive Stress in Key Formula

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The Height of Key is the vertical measurement of a key used in mechanical design, ensuring proper fit and alignment within a machine component. Check FAQs

h = 4 \cdot \frac{M t}{d s \cdot l \cdot σ c}

h - Height of Key?M_t - Transmitted Torque by Keyed Shaft?d_s - Diameter of Shaft using Key?l - Length of Key?σ_c - Compressive Stress in Key?

Height of Key given Compressive Stress in Key Example

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Here is how the Height of Key given Compressive Stress in Key equation looks like with Values.

Here is how the Height of Key given Compressive Stress in Key equation looks like with Units.

Here is how the Height of Key given Compressive Stress in Key equation looks like.

4.4554 = 4 \cdot \frac{224500}{44.99 \cdot 35 \cdot 128}

4.4554mm = 4 \cdot \frac{224500N*mm}{44.99mm \cdot 35mm \cdot 128N/mm²}

4.4554 = 4 \cdot \frac{224500}{44.99 \cdot 35 \cdot 128}

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Height of Key given Compressive Stress in Key Solution

Follow our step by step solution on how to calculate Height of Key given Compressive Stress in Key?

FIRST Step Consider the formula

h = 4 \cdot \frac{M t}{d s \cdot l \cdot σ c}

Next Step Substitute values of Variables

∴

h = 4 \cdot \frac{224500N*mm}{44.99mm \cdot 35mm \cdot 128N/mm²}

Next Step Convert Units

∴

h = 4 \cdot \frac{224.5N*m}{0.045m \cdot 0.035m \cdot 1.3E+8Pa}

Next Step Prepare to Evaluate

∴

h = 4 \cdot \frac{224.5}{0.045 \cdot 0.035 \cdot 1.3E+8}

Next Step Evaluate

∴

h = 0.00445535713888801m

Next Step Convert to Output's Unit

∴

h = 4.45535713888801mm

LAST Step Rounding Answer

∴

h = 4.4554mm

Height of Key given Compressive Stress in Key Formula Elements

Variables

Height of Key

The Height of Key is the vertical measurement of a key used in mechanical design, ensuring proper fit and alignment within a machine component.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Height of Key

Transmitted Torque by Keyed Shaft

The Transmitted Torque by Keyed Shaft is the rotational force transferred through a keyed connection, essential for ensuring reliable power transmission in mechanical systems.

Symbol: M_t

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Transmitted Torque by Keyed Shaft

Diameter of Shaft using Key

The Diameter of Shaft using Key is the measurement across the widest part of a shaft that accommodates a key for secure attachment and torque transmission.

Symbol: d_s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Shaft using Key

Length of Key

The Length of Key is the measurement of the key used in mechanical systems to secure components and transmit torque between shafts and hubs.

Symbol: l

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Key

Compressive Stress in Key

The Compressive Stress in Key is the internal stress experienced by a key due to axial loads, affecting its performance and stability in mechanical assemblies.

Symbol: σ_c

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Compressive Stress in Key

Other formulas in Design of Square and Flat Keys category

Go Force on Key

F = 2 \cdot \frac{M t}{d s}

Go Torque Transmitted by Keyed Shaft given Force on Keys

M t = F \cdot \frac{d s}{2}

Go Shaft Diameter given Force on Key

d s = 2 \cdot \frac{M t}{F}

Go Shear Stress in given Force on Key

𝜏 flat key = \frac{F}{b k \cdot l}

How to Evaluate Height of Key given Compressive Stress in Key?

Height of Key given Compressive Stress in Key evaluator uses Height of Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Length of Key*Compressive Stress in Key) to evaluate the Height of Key, Height of Key given Compressive Stress in Key formula is defined as a method to determine the appropriate height of a key in mechanical design, ensuring it can withstand specified compressive stress without failure. This is crucial for the reliability and efficiency of machine components. Height of Key is denoted by h symbol.

How to evaluate Height of Key given Compressive Stress in Key using this online evaluator? To use this online evaluator for Height of Key given Compressive Stress in Key, enter Transmitted Torque by Keyed Shaft (M_t), Diameter of Shaft using Key (d_s), Length of Key (l) & Compressive Stress in Key (σ_c) and hit the calculate button.

FAQs on Height of Key given Compressive Stress in Key

What is the formula to find Height of Key given Compressive Stress in Key?

The formula of Height of Key given Compressive Stress in Key is expressed as Height of Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Length of Key*Compressive Stress in Key). Here is an example- 4500 = 4*224.5/(0.04498998*0.035*128000000).

How to calculate Height of Key given Compressive Stress in Key?

With Transmitted Torque by Keyed Shaft (M_t), Diameter of Shaft using Key (d_s), Length of Key (l) & Compressive Stress in Key (σ_c) we can find Height of Key given Compressive Stress in Key using the formula - Height of Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Length of Key*Compressive Stress in Key).

Can the Height of Key given Compressive Stress in Key be negative?

No, the Height of Key given Compressive Stress in Key, measured in Length cannot be negative.

Which unit is used to measure Height of Key given Compressive Stress in Key?

Height of Key given Compressive Stress in Key is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Height of Key given Compressive Stress in Key can be measured.

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Height of Key given Compressive Stress in Key Formula

Height of Key given Compressive Stress in Key Example

Height of Key given Compressive Stress in Key Solution

Height of Key given Compressive Stress in Key Formula Elements

Other formulas in Design of Square and Flat Keys category

How to Evaluate Height of Key given Compressive Stress in Key?

FAQs on Height of Key given Compressive Stress in Key

Variable Name